AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
Powered by AMiner. Clicking this button will take you away from SciOpen.
Home AIMS Mathematics Article
PDF (260.3 KB)
Cite
EndNote(RIS) BibTeX
Collect
Submit Manuscript AI Chat Paper
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
Research Article | Open Access

Further representations and computations of the generalized Moore-Penrose inverse

Kezheng Zuo1, Yang Chen2( ), Li Yuan2
School of Mathematics and Statistics, Hubei Normal University, Huangshi, China
Department of Mathematics and Computer Science, Hanjiang Normal University, Shiyan, China
Show Author Information

Abstract

The aim of this paper is to provide new representations and computations of the generalized Moore-Penrose inverse. Based on the Moore-Penrose inverse, group inverse, Bott-Duffin inverse and certain projections, some representations for the generalized Moore-Penrose inverse are given. An equivalent condition for the continuity of the generalized Moore-Penrose inverse is proposed. Splitting methods and successive matrix squaring algorithm for computing the generalized Moore-Penrose inverse are presented.

Keywords

generalized Moore-Penrose inverserepresentationcomputation
CLC number: 15A09

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 8 Issue 10,
October 2023
Pages 23442-23458
DOI: 10.3934/math.20231191

{{item.num}}

Comments on this article

Go to comment

< Back to all reports

Review Status: {{reviewData.commendedNum}} Commended , {{reviewData.revisionRequiredNum}} Revision Required , {{reviewData.notCommendedNum}} Not Commended Under Peer Review

Review Comment

Cite this Report
Close
Close
Cite this article:
Zuo K, Chen Y, Yuan L. Further representations and computations of the generalized Moore-Penrose inverse. AIMS Mathematics, 2023, 8(10): 23442-23458. https://doi.org/10.3934/math.20231191

77

Views

1

Downloads

8

Crossref

8

Web of Science

8

Scopus
Received: 19 May 2023
Revised: 10 July 2023
Accepted: 13 July 2023
Published: 15 October 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)